A quadrature formula associated with a univariate quadratic spline quasi-interpolant
Numerical Analysis
2007-05-23 v1
Abstract
We study a new simple quadrature rule based on integrating a quadratic spline quasi-interpolant on a bounded interval. We give nodes and weights for uniform and non-uniform partitions. We also give error estimates for smooth functions and we compare this formula with Simpson's rule.
Cite
@article{arxiv.math/0512439,
title = {A quadrature formula associated with a univariate quadratic spline quasi-interpolant},
author = {Paul Sablonniere},
journal= {arXiv preprint arXiv:math/0512439},
year = {2007}
}